Use the Pythagorean Theorem to Find the Missing Side(s) $c = 5 , b = 4 a$

question 28

Multiple Choice

Use the Pythagorean theorem to find the missing side(s) .

- $c = 5 , b = 4 a$ ; find $b$ and $a$

• A) \(\mathrm { a } = \frac { 5 \sqrt { 17 } } { 17 } , \mathrm {~b} = \frac { 20 \sqrt { 17 } } { 17 }\)
• B) \(a = \frac { \sqrt { 85 } } { 17 } , b = \frac { \sqrt { 85 } } { 68 }\)
• C) \(a = \frac { 5 \sqrt { 17 } } { 17 } , b = \frac { 5 \sqrt { 17 } } { 68 }\)
• D) \(a = \frac { \sqrt { 85 } } { 17 } , b = \frac { 2 \sqrt { 85 } } { 17 }\)

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Definitions:

Homoplasic Traits

Homoplasic traits are similar features in organisms that evolved independently, not from a common ancestor, often due to convergent evolution or parallel evolution.

Homologous Traits

Features shared by two or more species inherited from a common ancestor.

Convergent Evolution

The phenomenon where unrelated species develop alike characteristics independently due to the need to adjust to comparable environments or ecological niches.

Sexual Selection

A mode of natural selection where individuals with certain inherited characteristics are more likely than others to obtain mates.